11101101100001 has 32 divisors (see below), whose sum is σ = 12252997785600. Its totient is φ = 9973653768000.

The previous prime is 11101101099947. The next prime is 11101101100043. The reversal of 11101101100001 is 10000110110111.

It is a cyclic number.

It is not a de Polignac number, because 11101101100001 - 2²⁶ = 11101033991137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11101101100301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430734760 + ... + 1430742518.

It is an arithmetic number, because the mean of its divisors is an integer number (382906180800).

Almost surely, 2^{11101101100001} is an apocalyptic number.

11101101100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101101100001 is a deficient number, since it is larger than the sum of its proper divisors (1151896685599).

11101101100001 is a wasteful number, since it uses less digits than its factorization.

11101101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11861.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11101101100001 its reverse (10000110110111), we get a palindrome (21101211210112).

The spelling of 11101101100001 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred thousand, one".